Tag Archives: matrix_function

Improved MATLAB Function Sqrtm

The MATLAB function sqrtm, for computing a square root of a matrix, first appeared in the 1980s. It was improved in MATLAB 5.3 (1999) and again in MATLAB 2015b. In this post I will explain how the recent changes have … Continue reading

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The Improved MATLAB Functions Expm and Logm

The matrix exponential is a ubiquitous matrix function, important both for theory and for practical computation. The matrix logarithm, an inverse to the exponential, is also increasingly used (see my earlier post, 400 Years of Logarithms). MATLAB R2015b introduced new … Continue reading

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Principal Values of Inverse Cosine and Related Functions

I’ve recently been working, with Mary Aprahamian, on theory and algorithms for the matrix inverse sine and cosine and their hyperbolic counterparts. Of course, in order to treat the matrix functions we first need a good understanding of the scalar … Continue reading

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Making Sense of Multivalued Matrix Functions with the Matrix Unwinding Function

Try the following quiz. Let be an real or complex matrix. Consider the principal logarithm—the one for which has imaginary part in —and define for (an important special case being for an integer ) . True or false: for all … Continue reading

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